38505646080 has 576 divisors, whose sum is σ = 150580684800. Its totient is φ = 9326592000.

The previous prime is 38505646079. The next prime is 38505646087. The reversal of 38505646080 is 8064650583.

38505646080 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 564 + 6 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38505646087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33453505 + ... + 33454655.

It is an arithmetic number, because the mean of its divisors is an integer number (261424800).

Almost surely, 2^38505646080 is an apocalyptic number.

38505646080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38505646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75290342400).

38505646080 is an abundant number, since it is smaller than the sum of its proper divisors (112075038720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38505646080 is a wasteful number, since it uses less digits than its factorization.

38505646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 38505646080 in words is "thirty-eight billion, five hundred five million, six hundred forty-six thousand, eighty".